On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations
Analysis of PDEs
2020-05-08 v3
Abstract
In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously.
Keywords
Cite
@article{arxiv.2004.12660,
title = {On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations},
author = {Tangyu Jiang and Haigang Li and Xiaoliang Li},
journal= {arXiv preprint arXiv:2004.12660},
year = {2020}
}
Comments
23 pages